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ID 53046
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Author
Peyghan, Esmaeil
Nasrabadi, Hassan
Tayebi, Akbar
Abstract
In this paper, we prove that evry 3-dimensional manifold M is a ∅-recurrent N(k)-contact metric manifold if and only if it is flat. Then we classify the ∅-recurrent contact metric manifolds of constant curvature. This implies that there exists no ∅-recurrent N(k)-contact metric manifold, which is neither symmetric nor locally ∅-symmetric.
Keywords
Constant curvature
Locally ∅-symmetric
N(k)-contact metric manifold
∅-recurrent
Published Date
2015-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume57
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
149
End Page
158
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
英語
Copyright Holders
Copyright©2015 by the Editorial Board of Mathematical Journal of Okayama University
File Version
publisher
Refereed
True
Submission Path
mjou/vol57/iss1/9